How Do You Find the Line of Intersection Between Two Planes?

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To find the line of intersection between the two planes defined by the equations z=x+y and 2x-5y-2z=1, substitute z from the first equation into the second. This substitution results in a single equation involving only x and y. Solving this equation will yield the parametric equations for the line of intersection. The solution demonstrates that it is possible to find a line of intersection despite having three unknowns and only two equations. The key is to reduce the variables through substitution.
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Given :
plane 1 : z=x+y
plane 2 : 2x-5y-2z=1

Find the equation of intersection of plane 1 and plane 2.

i have no idea how to solve 3 unknowns in 2 quations, please help~ thanks~
 
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Simply substitute z=x+y to equation of plane 2 and you ll have an equation involving only x and y to the first order, so it will be the equation of a streight line.
 

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